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Finding the Fourth Proportional to 20,124, 27,771.84 and 11,740.32

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Solution

The fourth proportional to 20,124, 27,771.84 and 11,740.32 is: 16,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 27,771.84 = 11,740.32 : x
  2. Step 2: Convert to fraction form
    20,124/27,771.84 = 11,740.32/x
  3. Step 3: Cross multiply
    20,124x = 27,771.84 × 11,740.32
  4. Step 4: Simplify right side
    20,124x = 326,050,288.59
  5. Step 5: Solve for x
    x = 326,050,288.59/20,124
  6. Step 6: Final answer
    x = 16,202.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.